100010011111117 has 2 divisors, whose sum is σ = 100010011111118. Its totient is φ = 100010011111116.

The previous prime is 100010011111103. The next prime is 100010011111123. The reversal of 100010011111117 is 711111110010001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64537909535401 + 35472101575716 = 8033549^2 + 5955846^2 .

It is a cyclic number.

It is not a de Polignac number, because 100010011111117 - 2¹¹ = 100010011109069 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100010011111117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100010011111147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005005555558 + 50005005555559.

It is an arithmetic number, because the mean of its divisors is an integer number (50005005555559).

Almost surely, 2^{100010011111117} is an apocalyptic number.

It is an amenable number.

100010011111117 is a deficient number, since it is larger than the sum of its proper divisors (1).

100010011111117 is an equidigital number, since it uses as much as digits as its factorization.

100010011111117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7, while the sum is 16.

Adding to 100010011111117 its reverse (711111110010001), we get a palindrome (811121121121118).

The spelling of 100010011111117 in words is "one hundred trillion, ten billion, eleven million, one hundred eleven thousand, one hundred seventeen".